how to solve system of PDEs?

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Shahrzad Daghighi
Shahrzad Daghighi el 11 de Nov. de 2022
Comentada: Torsten el 21 de Nov. de 2022
Hello Everyone,
I need to solve a system of PDEs as follows.
Eq1:
Eq2:
where i=1:10. In other words, they are known functions of x and y.
M and N are unknown functions of x and y.
I would appreciate it if you could help me with solving this system of PDEs.
Thank you!
  3 comentarios
Shahrzad Daghighi
Shahrzad Daghighi el 20 de Nov. de 2022
@Torsten thank you for your answer.
are trigonometric functions.
The domain is described by x and y where both vary from 0 to 90.
Equations represent the governing equation for a structural problem. Unfortunately, for this specific expression, there is not any literature.
I'm not sure how to choose the boundary conditions.
More precisely, how many BCs are needed to solve this system of PDE? Can I use the BCs on both unknown functons (M and N) and their first derivatives ()?
Thank you very much for your time.
Torsten
Torsten el 21 de Nov. de 2022
Study CLAWPACK available here:
This package is especially suited to solve hyperbolic PDEs like the one you defined above.

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Respuestas (1)

Bhavana Ravirala
Bhavana Ravirala el 14 de Nov. de 2022
Refer the below documentation which help you in solving the PDE’s
Hope this helps!!
  1 comentario
Torsten
Torsten el 14 de Nov. de 2022
There is no second-order derivative in both equations. Thus your link doesn't help in this case.

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